The number 46824
46824 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1951. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1951, 3902, 5853, 7804, 11706, 15608, 23412, 46824.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46824: a Harshad number: divisible by its digit sum 24.
- 2
46824 is composite. Its prime factorisation is
- 3
The divisors add up to 117120; without 46824 itself that is 70296, so 46824 is abundant (70296 is more than 46824). Euler's totient φ(46824) = 15600 numbers up to 46824 share no factor with it.
- 4
The digits of 46824 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46824 = 2^{3} \times 3 \times 1951 \]46824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 117120 |
| Euler totient φ(n) | 15600 |
| Square | 2192486976 |
| Cube | 102661010164224 |
| Square root | 216.388539 (= 2√11706) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6824 × |
46824 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and twenty-four |
| Binary (base 2) | 1011011011101000 |
| Octal (base 8) | 133350 |
| Hexadecimal (base 16) | B6E8 |
| Base 3 | 2101020020 |
| As time | 46824 seconds = 13 h 0 min 24 s |
Is 46824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46824 ÷ 2 = 23412) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46824 ÷ 3 = 15608) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46824 ÷ 4 = 11706) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46824 ÷ 6 = 7804) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (46824 ÷ 8 = 5853) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46824 ÷ 12 = 3902) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46824 a prime number?
No. 46824 = × 3 × 1951, so it is divisible by 2.
What are the factors of 46824?
1, 2, 3, 4, 6, 8, 12, 24, 1951, 3902, 5853, 7804, 11706, 15608, 23412, 46824.
What is 46824 in binary?
1011011011101000 (hexadecimal B6E8, octal 133350).
What is the square root of 46824?
About 216.3885, exactly 2√11706.
Is 46824 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 46824?
46824 is a Harshad number: divisible by its digit sum 24.